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Finding the Fourth Proportional to 598,436.80, 897,208.80 and 361,729.60

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Solution

The fourth proportional to 598,436.80, 897,208.80 and 361,729.60 is: 542,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,436.80 : 897,208.80 = 361,729.60 : x
  2. Step 2: Convert to fraction form
    598,436.80/897,208.80 = 361,729.60/x
  3. Step 3: Cross multiply
    598,436.80x = 897,208.80 × 361,729.60
  4. Step 4: Simplify right side
    598,436.80x = 324,546,980,340.48
  5. Step 5: Solve for x
    x = 324,546,980,340.48/598,436.80
  6. Step 6: Final answer
    x = 542,324.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.